How to make a point out of 2 intersecting lines?
Two line maybe not even intersect, not even in 2d if they are parallel, well there is cheat for it:
https://en.wikipedia.org/wiki/Line_at_infinity

In blender we work with vectors in a 3d place and not with real numbers but with floats. So a pure mathematical solution is maybe unusable, I wrote this because the question is pure mathematical. If we rephrase it for 3d modeling:

Can I make a vertex at the intersection or mutually closest point of two edges. We will get a duplicated question:
How can I add vertices to intersection of two edges?